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Finding the Fourth Proportional to 12,337, 17,017.06 and 8,310.76

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Solution

The fourth proportional to 12,337, 17,017.06 and 8,310.76 is: 11,463.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,337 : 17,017.06 = 8,310.76 : x
  2. Step 2: Convert to fraction form
    12,337/17,017.06 = 8,310.76/x
  3. Step 3: Cross multiply
    12,337x = 17,017.06 × 8,310.76
  4. Step 4: Simplify right side
    12,337x = 141,424,701.57
  5. Step 5: Solve for x
    x = 141,424,701.57/12,337
  6. Step 6: Final answer
    x = 11,463.46

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.